15/4 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 15 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

15/4 as a Decimal for Australian Students

What is 15/4 as a decimal?

$15/4 as a decimal$

Answer

15/4 in decimals can be written as 3.75. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 15/4 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (15) will be taken as the dividend and the denominator (4) will be taken as the divisor.

Step 2: Divide 15 by 4. Let's see how many times 4 fits into 15.

Step 3: 4 × 3 = 12. Subtract 12 from 15, which gives 3.

Step 4: Bring down a 0 to make it 30 and continue the division. 4 goes into 30 seven times (4 × 7 = 28). Subtract 28 from 30, which gives 2.

Step 5: Bring down another 0 to make it 20. 4 goes into 20 five times (4 × 5 = 20). Subtract 20 from 20, which gives 0. Since the remainder is 0, the division process stops here.

The answer for 15/4 as a decimal is 3.75.

Important Glossaries for 15/4 as a decimal

Fraction: A numerical quantity representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Terminating Decimal: A decimal that ends and does not repeat infinitely.

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At BrightChamps, math questions are more than just exercises—they’re opportunities to grow and explore! Our mission is to help children across Australia develop important skills, including today’s focus on the 15/4 as a Decimal with special attention on decimal conversions—in a fun, lively, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the latest gadgets, strong math skills give them confidence for daily challenges. Our lessons are interactive and designed to be enjoyable. Since kids in Australia learn in various ways, we customize our teaching to meet their individual styles. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life, making it relatable and exciting throughout Australia. Let’s make decimal conversions a fun part of every child’s math journey!